To solve this problem, let’s first define the values of the first three quantum numbers:
• principal quantum number (n) → energy level in orbitals and its value could be any positive integer starting from 1 to infinity
• angular momentum quantum number (ℓ) → (l) has to be at least 1 less than n, range of values from 0 up to (n-1)
• magnetic quantum number (mℓ) → range of values from -ℓ to +ℓ.
Which set of three quantum numbers does not specify an orbital in the hydrogen atom? Provide step by step explanation.
a. n = 2; l = 1; m l = -1
b. n = 3; l = 2; m l = 2
c. n = 2; l = 0; m l = 0
d. n = 3; l = 4; m l = 0
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Based on our data, we think this problem is relevant for Professor Hamilton & Bass' class at UMBC.